Ragnaroksma: Difference between revisions
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{{Infobox Interval| | {{Infobox Interval | ||
| Ratio = 35153041/35152000 | |||
| Name = Ragnaroksma | |||
| Color name = trithu-aquadlozo-atriguma, 3u^31o^4z^4g^3M | |||
| Comma = yes | |||
}} | |||
The '''ragnaroksma''' is an [[unnoticeable comma]] in the no-3's [[13-limit]], measuring about 0.0513 [[cent]]s. It is found as the difference between a stack of four [[77/64]]'s and a stack of three [[65/64]]'s up an octave. | |||
In terms of other commas, it equals the difference between a [[symbiotic comma]] and a stack of three [[ibnsinma]]s, (19712/19683)/(2080/2079)<sup>3</sup>, or between a [[wilschisma]] and a stack of four ibnsinmas, (532480/531441)/(2080/2079)<sup>4</sup>. Alternatively, it manifests as the three-comma relation: ([[10648/10647]])/((2080/2079)/([[2401/2400]])), in other words, as the difference between a [[harmonisma]] and an [[yggdrasilsma]]. | |||
== Temperaments == | == Temperaments == | ||
[[Tempering out]] this comma alone in the 13-limit leads to the rank-5 '''ragnaroksmic''' temperament, or in the 2.5.7.11.13 subgroup, the rank-4 '''ragnarok''' temperament. It is tempered out in [[alfheim]], or more simply [[symbiotic]], as well as lower-rank temperaments such as [[freyr]] and [[cassaschismic]]. | |||
== Etymology == | == Etymology == | ||
The comma was named by [[Flora Canou]] in 2026 | The comma was named by [[Flora Canou]] in 2026 after the great battle of ''{{w|Ragnarök}}'' in Norse mythology, which leads to the end of the world and the death of almost all gods, thereby portraying the temperament's immense accuracy and being an absolute end to the [[detemperament]] sequence (after alfheim). | ||
[[Category:Ragnaroksmic]] | |||
[[Category:Commas named after mythology or literature]] | |||
Latest revision as of 08:44, 31 October 2026
| Interval information |
The ragnaroksma is an unnoticeable comma in the no-3's 13-limit, measuring about 0.0513 cents. It is found as the difference between a stack of four 77/64's and a stack of three 65/64's up an octave.
In terms of other commas, it equals the difference between a symbiotic comma and a stack of three ibnsinmas, (19712/19683)/(2080/2079)3, or between a wilschisma and a stack of four ibnsinmas, (532480/531441)/(2080/2079)4. Alternatively, it manifests as the three-comma relation: (10648/10647)/((2080/2079)/(2401/2400)), in other words, as the difference between a harmonisma and an yggdrasilsma.
Temperaments
Tempering out this comma alone in the 13-limit leads to the rank-5 ragnaroksmic temperament, or in the 2.5.7.11.13 subgroup, the rank-4 ragnarok temperament. It is tempered out in alfheim, or more simply symbiotic, as well as lower-rank temperaments such as freyr and cassaschismic.
Etymology
The comma was named by Flora Canou in 2026 after the great battle of Ragnarök in Norse mythology, which leads to the end of the world and the death of almost all gods, thereby portraying the temperament's immense accuracy and being an absolute end to the detemperament sequence (after alfheim).